Subscribe to our YouTube channel for the latest videos, updates, and tips.


Difference of The Squares

The difference of the squares of two consecutive numbers is equal to the sum of two numbers: As:

(i) 3 x 3 – 2 x 2 = 3 + 2 = 5

(ii) 9 x 9 – 8 x 8 = 9 + 8 = 17

(iii) 25 x 25 – 24 x 24 = 25 + 24 = 49

(iv) 217 x 217 – 216 x 216 = 217 + 216 = 433


You may write the difference of the squares of two given consecutive numbers:

(i) 76 x 76 – 75 x 75 = _______ .

(ii) 115 x 115 – 114 x 114 = _______ .

(iii) 137 x 137 – 136 x 136 = _______ .

(iv) 376 x 376 – 375 x 375 = _______ .

(v) 695 x 695 - 694 x 694 = _______ .


Check the answers: 

(i) 76 x 76 – 75 x 75

= 76 + 75

= 151.

Answer: 151


(ii) 115 x 115 – 114 x 114

= 115 + 114

= 229.

Answer: 229



(iii) 137 x 137 – 136 x 136

= 137 + 136

= 273.

Answer: 273



(iv) 376 x 376 – 375 x 375

= 376 + 375

= 751.

Answer: 751



(v) 695 x 695 - 694 x 694

= 695 + 694

= 1389.

Answer: 1389

Related Concept

● Patterns and Mental Mathematics

● Counting Numbers in Proper Pattern

● Odd Numbers Patterns

● Three Consecutive Numbers

● Number Formed by Any Power

● Product of The Number

● Magic Square

● Square of a Number

● Difference of The Squares

● Multiplied by Itself

● Puzzle

● Patterns

● Systems of Numeration








4th Grade Math Activities

From Difference of The Squares to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

RSS

  1. Average Word Problems | Worksheet on Average Questions with Answers

    May 20, 25 05:40 PM

    In average word problems we will solve different types of problems on basic concept of average. 1. Richard scored 80, 53, 19, 77, 29 and 96 runs in 6 innings in a series. Find the average runs scored…

    Read More

  2. Worksheet on Average | Word Problem on Average | Questions on Average

    May 19, 25 02:53 PM

    Worksheet on Average
    In worksheet on average we will solve different types of questions on the concept of average, calculating the average of the given quantities and application of average in different problems.

    Read More

  3. 8 Times Table | Multiplication Table of 8 | Read Eight Times Table

    May 18, 25 04:33 PM

    Printable eight times table
    In 8 times table we will memorize the multiplication table. Printable multiplication table is also available for the homeschoolers. 8 × 0 = 0 8 × 1 = 8 8 × 2 = 16 8 × 3 = 24 8 × 4 = 32 8 × 5 = 40

    Read More

  4. How to Find the Average in Math? | What Does Average Mean? |Definition

    May 17, 25 04:04 PM

    Average 2
    Average means a number which is between the largest and the smallest number. Average can be calculated only for similar quantities and not for dissimilar quantities.

    Read More

  5. Problems Based on Average | Word Problems |Calculating Arithmetic Mean

    May 17, 25 03:47 PM

    Here we will learn to solve the three important types of word problems based on average. The questions are mainly based on average or mean, weighted average and average speed.

    Read More